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Calculate the ratio of \( H C O O^{-} \) and \( F^{-} \) in a mixture of \( 0.2 M \) HCOOH \( \left(K_{a}=\right. \) \( \left.2 \times 10^{-4}\right) \) and \( 0.1 M H F\left(K_{a}=6.6 \times\right. \) \( \left.10^{-4}\right) \)
- 1: 6.6
- 1: 3.3
- 2: 3.3
- 3.3 : 2
Correct answer: 1: 3.3
Solution
For each weak acid, the conjugate base formed is proportional to its dissociation, so [HCOO^-]/[HCOOH] and [F^-]/[HF] can be estimated from Ka and initial concentration. Comparing those two ratios gives the relative amounts of HCOO^- and F^- , which simplifies to 1:3.3.
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